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Simplifying -7w + -19 = -2(w + 7) Reorder the terms: -19 + -7w = -2(w + 7) Reorder the terms: -19 + -7w = -2(7 + w) -19 + -7w = (7 * -2 + w * -2) -19 + -7w = (-14 + -2w) Solving -19 + -7w = -14 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -19 + -7w + 2w = -14 + -2w + 2w Combine like terms: -7w + 2w = -5w -19 + -5w = -14 + -2w + 2w Combine like terms: -2w + 2w = 0 -19 + -5w = -14 + 0 -19 + -5w = -14 Add '19' to each side of the equation. -19 + 19 + -5w = -14 + 19 Combine like terms: -19 + 19 = 0 0 + -5w = -14 + 19 -5w = -14 + 19 Combine like terms: -14 + 19 = 5 -5w = 5 Divide each side by '-5'. w = -1 Simplifying w = -1
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